Abstract:
Rationality of the Wightman functions is proven to follow from energy positivity, locality and a natural condition of global conformal invariance (GCI) in any number D of space-time dimensions. The GCI condition allows to treat correlation functions as generalized sections of a vector bundle over the compactification of Minkowski space M and yields a strong form of locality valid for all non-isotropic intervals if assumed true for space-like separations.
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Received: 20 October 2000 / Accepted: 5 December 2000
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Nikolov, N., Todorov, I. Rationality of Conformally Invariant Local Correlation Functions on Compactified Minkowski Space. Commun. Math. Phys. 218, 417–436 (2001). https://doi.org/10.1007/s002200100414
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DOI: https://doi.org/10.1007/s002200100414